\begin{table}[htbp]\centering
\def\sym#1{\ifmmode^{#1}\else\(^{#1}\)\fi}
\caption{First Stage \label{firststage}}
\begin{tabular}{l*{3}{c}}
\hline\hline
                    &\multicolumn{1}{c}{(1)}&\multicolumn{1}{c}{(2)}&\multicolumn{1}{c}{(3)}\\
                    &\multicolumn{1}{c}{Schooling Ordinal}&\multicolumn{1}{c}{Any Primary}&\multicolumn{1}{c}{Any Secondary}\\
\hline
Proximity to Diocese Head&       0.283\sym{***}&      0.0351\sym{**} &      0.0629\sym{***}\\
                    &    (0.0920)         &    (0.0133)         &    (0.0231)         \\
[1em]
Closer to Diocese Head=1 $\times$ Distance to Border&     -0.0414\sym{*}  &    -0.00613         &     -0.0100         \\
                    &    (0.0228)         &   (0.00424)         &   (0.00610)         \\
[1em]
Distance to Border  &      0.0121         &     0.00130         &     0.00293         \\
                    &    (0.0187)         &   (0.00310)         &   (0.00463)         \\
\hline
Observations        &       10050         &       10050         &       10050         \\
\(R^{2}\)           &       0.162         &       0.130         &       0.162         \\
Border FEs          &         YES         &         YES         &         YES         \\
AB Round FEs        &         YES         &         YES         &         YES         \\
Country FEs         &          NO         &          NO         &          NO         \\
Cluster             &      BORDER         &      BORDER         &      BORDER         \\
Mean of Outcome     &       2.538         &       0.846         &       0.504         \\
SD of Outcome       &       1.841         &       0.361         &       0.500         \\
Min of Outcome      &           0         &           0         &           0         \\
Max of Outcome      &           8         &           1         &           1         \\
\hline\hline
\multicolumn{4}{l}{\footnotesize Standard errors in parentheses}\\
\multicolumn{4}{l}{\footnotesize \sym{*} \(p<0.10\), \sym{**} \(p<0.05\), \sym{***} \(p<0.01\)}\\
\end{tabular}
\end{table}
